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Author: Siegfried Bosch
Publisher: Springer Science & Business Media
ISBN: 3642514383
Category : Mathematics
Languages : en
Pages : 336
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Book Description
Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Néron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Néron models, and even to go back to the basics of their construction. The authors have taken this as their incentive to present a comprehensive treatment of Néron models. This volume of the renowned "Ergebnisse" series provides a detailed demonstration of the construction of Néron models from the point of view of Grothendieck's algebraic geometry. In the second part of the book the relationship between Néron models and the relative Picard functor in the case of Jacobian varieties is explained. The authors helpfully remind the reader of some important standard techniques of algebraic geometry. A special chapter surveys the theory of the Picard functor.
Author: Siegfried Bosch
Publisher: Springer Science & Business Media
ISBN: 3642514383
Category : Mathematics
Languages : en
Pages : 336
Get Book Here
Book Description
Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Néron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Néron models, and even to go back to the basics of their construction. The authors have taken this as their incentive to present a comprehensive treatment of Néron models. This volume of the renowned "Ergebnisse" series provides a detailed demonstration of the construction of Néron models from the point of view of Grothendieck's algebraic geometry. In the second part of the book the relationship between Néron models and the relative Picard functor in the case of Jacobian varieties is explained. The authors helpfully remind the reader of some important standard techniques of algebraic geometry. A special chapter surveys the theory of the Picard functor.
Author: Lars Halvard Halle
Publisher: Springer
ISBN: 3319266381
Category : Mathematics
Languages : en
Pages : 154
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Book Description
Presenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related to Néron models of semi-abelian varieties, motivated by concrete research problems and complemented with explicit examples. Néron models of abelian and semi-abelian varieties have become an indispensable tool in algebraic and arithmetic geometry since Néron introduced them in his seminal 1964 paper. Applications range from the theory of heights in Diophantine geometry to Hodge theory. We focus specifically on Néron component groups, Edixhoven’s filtration and the base change conductor of Chai and Yu, and we study these invariants using various techniques such as models of curves, sheaves on Grothendieck sites and non-archimedean uniformization. We then apply our results to the study of motivic zeta functions of abelian varieties. The final chapter contains a list of challenging open questions. This book is aimed towards researchers with a background in algebraic and arithmetic geometry.
Author: Gabriel Legouvé
Publisher:
ISBN:
Category : Authors, French
Languages : en
Pages : 72
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Book Description
Author: Roch Carrier
Publisher: House of Anansi
ISBN: 1770891323
Category : Fiction
Languages : en
Pages : 82
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Book Description
La Guerre Yes Sir! is the first book in a trilogy -- good news for readers who were delighted by Roch Carrier's first novel. In Floralie, Where Are You? he reaches back to the wedding night of the Corriveau parents. Once again a single night expands until it becomes a world in itself. But this time it is a very different concoction, mingling desire and guilt, nightmare and fantasy, as Anthymo drives Floralie back to his village through the forest. In Sheila Fischman's fluid translation, Floralie, Where Are You? sings with vivacity and grace.
Author: Brendan Hassett
Publisher: American Mathematical Soc.
ISBN: 0821889834
Category : Mathematics
Languages : en
Pages : 614
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Book Description
This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians. The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkähler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).
Author: Richard Adolf Ploetz
Publisher:
ISBN:
Category : French language
Languages : en
Pages : 848
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Book Description
Author: Jean-Michel Croisille
Publisher:
ISBN:
Category : Art and literature
Languages : en
Pages : 158
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Book Description
Author: Giovanni Boccaccio
Publisher:
ISBN:
Category : Dance of death
Languages : en
Pages : 556
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Author:
Publisher:
ISBN:
Category : Electricity
Languages : en
Pages : 894
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Author: George Eugène-Fasnacht
Publisher: London Macmillan 1894.
ISBN:
Category : French language
Languages : en
Pages : 680
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Book Description
